Partially implicit peer methods for the compressible Euler equations

Jebens, Stefan; Knoth, Oswald; Weiner, Rüdiger

doi:10.1016/j.jcp.2011.03.015

Cited by 27 publications

(28 citation statements)

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“…ASAM also took part in an intercomparison study of mountain-wave simulations for idealized and real terrain profiles, where altogether 11 different nonhydrostatic numerical models were compared (Doyle et al, 2011). A partially implicit peer method is presented in Jebens et al (2011) in order to overcome the small cell problem around orography when using cut cells. The model was recently used for a study of dynamic flow structures in a turbulent urban environment of a buildingresolving resolution (König, 2013).…”

Section: Published By Copernicus Publications On Behalf Of the Europementioning

confidence: 99%

“…To tackle the small time step problem connected with tiny cut cells, linear implicit Rosenbrock W methods are used (Knoth, 2006;Jebens et al, 2011;John and Rang, 2010). A Rosenbrock method has the form…”

Section: Time Integrationmentioning

confidence: 99%

“…A 1 km tall hill is added at the left side of the domain so that the resulting current overflows over the mountain. Considering moisture effects and phase changes, the moist bubble case by Bryan and Fritsch (2002) with the addition of a mid-air zeppelin (Klein et al, 2009;Jebens et al, 2011) is performed. Besides analyzing the flow field in the vicinity of the obstacles, conservation studies regarding total energy are performed for both cases.…”

Section: Test Casesmentioning

confidence: 99%

“…9, but for the zeppelin and the lateral transported moist bubble test cases. duced in Klein et al (2009) andJebens et al (2011). However, their tests were carried out with the dry bubble, which was also shifted 1 km to the left.…”

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confidence: 99%

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ASAM v2.7: a compressible atmospheric model with a Cartesian cut cell approach

et al. 2015

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Abstract. In this work, the fully compressible, threedimensional, nonhydrostatic atmospheric model called All Scale Atmospheric Model (ASAM) is presented. A cut cell approach is used to include obstacles and orography into the Cartesian grid. Discretization is realized by a mixture of finite differences and finite volumes and a state limiting is applied. Necessary shifting and interpolation techniques are outlined. The method can be generalized to any other orthogonal grids, e.g., a lat-long grid. A linear implicit Rosenbrock time integration scheme ensures numerical stability in the presence of fast sound waves and around small cells. Analyses of five two-dimensional benchmark test cases from the literature are carried out to show that the described method produces meaningful results with respect to conservation properties and model accuracy. The test cases are partly modified in a way that the flow field or scalars interact with cut cells. To make the model applicable for atmospheric problems, physical parameterizations like a Smagorinsky subgrid-scale model, a two-moment bulk microphysics scheme, and precipitation and surface fluxes using a sophisticated multi-layer soil model are implemented and described. Results of an idealized three-dimensional simulation are shown, where the flow field around an idealized mountain with subsequent gravity wave generation, latent heat release, orographic clouds and precipitation are modeled.

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Section: Published By Copernicus Publications On Behalf Of the Europementioning

confidence: 99%

Section: Time Integrationmentioning

confidence: 99%

Section: Test Casesmentioning

confidence: 99%

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confidence: 99%

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ASAM v2.7: a compressible atmospheric model with a Cartesian cut cell approach

et al. 2015

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“…Yamazaki and Satomura (2012) also successfully implemented the cut-cell technique in a block structured grid which enabled a higher resolution near the surface. Jebens et al (2011) demonstrated a partially implicit method to avoid the time-step constraints by solving all computations in the cut-cells with a fully implicit solver and reverting to a more common semi-implicit approach in the regular grid cells. This paper presents further examples and discussions of the reduction in errors that are achieved in simulations of flows near orography by use of the cutcell method from Lock et al (2012) relative to terrainfollowing models.…”

Section: Introductionmentioning

confidence: 99%

Performance of the cut‐cell method of representing orography in idealized simulations

Good

Gadian

Lock

et al. 2013

Atmospheric Science Letters

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Several tests of a model with a cut-cell representation of orography are presented: a resting atmosphere test, advection across a hill and a warm rising bubble over hills with different gradients. The tests are compared with results from terrain-following models. Results indicate that errors associated with terrain-following coordinates are reduced, in some cases greatly reduced, with the cut-cell approach. In a resting atmosphere, the cut-cell approach does not generate flow around an isolated hill however steep the terrain. Relative errors in a rising bubble test are an order of magnitude smaller than terrain-following simulations.

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